Explicit symplectic integrator for s-dependent static magnetic field.
Explicit symplectic integrator for s-dependent static magnetic field.
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DOI：
10.1103/physreve.68.046502
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发表时间：
2003-10
期刊：
影响因子：
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通讯作者：
Y. K. Wu;É. Forest;D. Robin
中科院分区：
文献类型：
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作者：
Y. K. Wu;É. Forest;D. Robin
本文报告了我们最近在与 s 相关的静磁场中带电粒子运动的显式辛积分技术方面的工作。使用扩展相空间，可以使用空间或时间作为自变量，为具有或不具有近轴近似的哈密顿量开发辛积分器。这项工作将用于研究单粒子非线性动力学的成功的逐元素跟踪方法扩展到一组与 s 相关的磁性元素。这项工作的重要应用包括研究具有各种插入装置、超导磁体、具有显着边缘场的大孔径磁体以及相互作用区域中的螺线管磁体的存储环中的带电粒子动力学。因此，这项工作预计将对现有和未来光源环和高能物理加速器的设计和优化运行产生影响。
This paper reports our recent work on explicit symplectic integration techniques for the charged particle motion in an s-dependent static magnetic field. Using the extended phase space, symplectic integrators can be developed for Hamiltonians with or without the paraxial approximation using either the space or time as an independent variable. This work extends the successful element-by-element tracking method for studying single-particle nonlinear dynamics to a set of s-dependent magnetic elements. Important applications of this work include the studies of the charged particle dynamics in a storage ring with various insertion devices, superconducting magnets, large aperture magnets with significant fringe fields, and solenoid magnets in the interaction region. Consequently, this work is expected to make an impact on design and optimal operation of existing and future light source rings and high energy physics accelerators.